AbstractA simple empirical model is developed based on two‐dimensional linearized Rayleigh‐Taylor stability theory to describe the break‐up of drops and bubbles in stagnant fluids. Splitting is predicted to occur if the growth of indentations on the leading edge is rapid enough relative to the rate at which the disturbance is carried around the interface to the equator. Experimental data on maximum stable sizes of drops and bubbles in viscous liquids are presented for eighteen different systems, covering a range much larger than in previous studies. Agreement between the model and experimental results is favou